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Finding the Fourth Proportional to 570.31, 856.88 and 364.97

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Solution

The fourth proportional to 570.31, 856.88 and 364.97 is: 548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.31 : 856.88 = 364.97 : x
  2. Step 2: Convert to fraction form
    570.31/856.88 = 364.97/x
  3. Step 3: Cross multiply
    570.31x = 856.88 × 364.97
  4. Step 4: Simplify right side
    570.31x = 312,735.49
  5. Step 5: Solve for x
    x = 312,735.49/570.31
  6. Step 6: Final answer
    x = 548.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.